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4122413020 = 2251133156611
BaseRepresentation
bin1111010110110111…
…0000011111011100
3101122022001021112201
43311231300133130
531420314204040
61521021341244
7204104634565
oct36555603734
911568037481
104122413020
111825aa3a10
12970707824
135090b1a5b
142b16db16c
15191da5a9a
hexf5b707dc

4122413020 has 48 divisors (see below), whose sum is σ = 9472772736. Its totient is φ = 1494504000.

The previous prime is 4122412999. The next prime is 4122413023. The reversal of 4122413020 is 203142214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122413023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44515 + ... + 101125.

It is an arithmetic number, because the mean of its divisors is an integer number (197349432).

Almost surely, 24122413020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736386368).

4122413020 is an abundant number, since it is smaller than the sum of its proper divisors (5350359716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4122413020 is a wasteful number, since it uses less digits than its factorization.

4122413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56962 (or 56960 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4122413020 is about 64206.0201227268. The cubic root of 4122413020 is about 1603.4318291427.

Adding to 4122413020 its reverse (203142214), we get a palindrome (4325555234).

The spelling of 4122413020 in words is "four billion, one hundred twenty-two million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 3310 3641 6620 7282 14564 18205 36410 56611 72820 113222 226444 283055 566110 622721 1132220 1245442 2490884 3113605 6227210 12454420 18738241 37476482 74952964 93691205 187382410 206120651 374764820 412241302 824482604 1030603255 2061206510 4122413020